What is the Least Common Multiple of 61524 and 61536?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 61524 and 61536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61524 and 61536, than apply into the LCM equation.

GCF(61524,61536) = 12
LCM(61524,61536) = ( 61524 × 61536) / 12
LCM(61524,61536) = 3785940864 / 12
LCM(61524,61536) = 315495072

Least Common Multiple (LCM) of 61524 and 61536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61524 and 61536. First we will calculate the prime factors of 61524 and 61536.

Prime Factorization of 61524

Prime Factorization of 61536

Now multiplying the highest exponent prime factors to calculate the LCM of 61524 and 61536.

LCM(61524,61536) = 2⁵ × 3² × 1709¹ × 641¹
LCM(61524,61536) = 315495072